NCERT Solutions for – Class 9 Maths

Chapter 1 Number Systems

Exercise 1.5

                  Here we are providing NCERT Solutions Class 9 Maths Chapter 1 number systems Exercise 1.5 .In this exercise 1.5 you will learn about Operations on Real Numbers and commutative, associative, closure and distributive laws also. Students you will get full explanation about number system exercise 1.5 and also NCERT textbook questions with answers are created by the expert faculties at SukRaj classes.

The NCERT Solutions for Class 9 Maths aim at equipping the students with detailed and step-wise explanations for all the answers to the questions given in the exercises in the NCERT textbook for class 9.

Rational numbers (RN) satisfy the commutative, associative and distribute properties for addition and multiplication.

Rational numbers satisfy the Closure property for addition, multiplication, division, subtraction.

Irrational numbers (IRN) also satisfy commutative, associative and distributive properties for addition and multiplication. However, the difference, quotients and products of irrational numbers are not always irrational.

Some important facts:

Here, Rational numbers           irrational number                 RN AND IRN

Denoted by:  (RN)                      denoted by: (IRN)                 Combination:

RN + RN = RN                             IRN + IRN=IRN                        RN + IRN = IR

RN- RN =RN                                IRN –IRN =IRN                        RN – IRN =IR

RN X RN =RN                              IRN X IRN =IRN                       RN X IRN = IR

RN/RN =RN                                 IRN/IRN= IRN                           RN/IRN = IR

Exercise 1.5 (Solution)

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